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Finding the Fourth Proportional to 219,434.86, 329,164.58 and 61,651

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Solution

The fourth proportional to 219,434.86, 329,164.58 and 61,651 is: 92,479.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,434.86 : 329,164.58 = 61,651 : x
  2. Step 2: Convert to fraction form
    219,434.86/329,164.58 = 61,651/x
  3. Step 3: Cross multiply
    219,434.86x = 329,164.58 × 61,651
  4. Step 4: Simplify right side
    219,434.86x = 20,293,325,521.58
  5. Step 5: Solve for x
    x = 20,293,325,521.58/219,434.86
  6. Step 6: Final answer
    x = 92,479.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.